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Finding the Fourth Proportional to 6,743.63, 9,305.53 and 3,911.92

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Solution

The fourth proportional to 6,743.63, 9,305.53 and 3,911.92 is: 5,398.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.63 : 9,305.53 = 3,911.92 : x
  2. Step 2: Convert to fraction form
    6,743.63/9,305.53 = 3,911.92/x
  3. Step 3: Cross multiply
    6,743.63x = 9,305.53 × 3,911.92
  4. Step 4: Simplify right side
    6,743.63x = 36,402,504.05
  5. Step 5: Solve for x
    x = 36,402,504.05/6,743.63
  6. Step 6: Final answer
    x = 5,398.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.